210100133100061 has 2 divisors, whose sum is σ = 210100133100062. Its totient is φ = 210100133100060.

The previous prime is 210100133100017. The next prime is 210100133100079. The reversal of 210100133100061 is 160001331001012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199837522232100 + 10262610867961 = 14136390^2 + 3203531^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-210100133100061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210100133100761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105050066550030 + 105050066550031.

It is an arithmetic number, because the mean of its divisors is an integer number (105050066550031).

Almost surely, 2^{210100133100061} is an apocalyptic number.

It is an amenable number.

210100133100061 is a deficient number, since it is larger than the sum of its proper divisors (1).

210100133100061 is an equidigital number, since it uses as much as digits as its factorization.

210100133100061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 210100133100061 its reverse (160001331001012), we get a palindrome (370101464101073).

The spelling of 210100133100061 in words is "two hundred ten trillion, one hundred billion, one hundred thirty-three million, one hundred thousand, sixty-one".